2112112101 has 32 divisors (see below), whose sum is σ = 3124137600. Its totient is φ = 1258592000.

The previous prime is 2112112097. The next prime is 2112112117. The reversal of 2112112101 is 1012112112.

It is a cyclic number.

It is not a de Polignac number, because 2112112101 - 2² = 2112112097 is a prime.

It is a super-2 number, since 2×2112112101² = 8922035054381268402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112112201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 494491 + ... + 498743.

It is an arithmetic number, because the mean of its divisors is an integer number (97629300).

Almost surely, 2^2112112101 is an apocalyptic number.

It is an amenable number.

2112112101 is a deficient number, since it is larger than the sum of its proper divisors (1012025499).

2112112101 is a wasteful number, since it uses less digits than its factorization.

2112112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4517.

The product of its (nonzero) digits is 8, while the sum is 12.

The square root of 2112112101 is about 45957.7207985775. The cubic root of 2112112101 is about 1283.0364315845.

Adding to 2112112101 its reverse (1012112112), we get a palindrome (3124224213).

It can be divided in two parts, 2112112 and 101, that multiplied together give a palindrome (213323312).

The spelling of 2112112101 in words is "two billion, one hundred twelve million, one hundred twelve thousand, one hundred one".